4821600 has 216 divisors, whose sum is σ = 18701928. Its totient is φ = 1075200.

The previous prime is 4821563. The next prime is 4821613. The reversal of 4821600 is 61284.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117580 + ... + 117620.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

Almost surely, 2^4821600 is an apocalyptic number.

4821600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4821600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9350964).

4821600 is an abundant number, since it is smaller than the sum of its proper divisors (13880328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4821600 is a wasteful number, since it uses less digits than its factorization.

4821600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 4821600 is about 2195.8141997901. The cubic root of 4821600 is about 168.9391842613.

Adding to 4821600 its reverse (61284), we get a palindrome (4882884).

The spelling of 4821600 in words is "four million, eight hundred twenty-one thousand, six hundred".